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Finding the Fourth Proportional to 692.16, 955.06 and 397.32

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Solution

The fourth proportional to 692.16, 955.06 and 397.32 is: 548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.16 : 955.06 = 397.32 : x
  2. Step 2: Convert to fraction form
    692.16/955.06 = 397.32/x
  3. Step 3: Cross multiply
    692.16x = 955.06 × 397.32
  4. Step 4: Simplify right side
    692.16x = 379,464.44
  5. Step 5: Solve for x
    x = 379,464.44/692.16
  6. Step 6: Final answer
    x = 548.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.